This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
int parent[200020];
int level[200020];
int g[200020];
int n;
int query[400010][3];
void init(){
for(int i=0; i<=200000; i++){
parent[i] = i;
level[i] = 1;
}
}
int find(int u){
if(u == parent[u]) return u;
return parent[u] = find(parent[u]);
}
void merge(int u, int v){
u = find(u);
v = find(v);
if(u == v) return;
if(level[u] > level[v]) swap(u, v);
parent[u] = v;
if(level[u] == level[v]) level[v]++;
}
int main(){
ios_base::sync_with_stdio(0); //cin.tie(0);
int n, q; cin >> n >> q;
g[1] = 1;
for(int i=2; i<=n; i++){
int t; cin >> t;
g[i] = t;
}
init();
q += (n-1);
for(int i=0; i<q; i++){
int op; cin >> op;
if(op) cin >> query[i][1] >> query[i][2];
else{
cin >> query[i][1]; query[i][2] = 0;
}
}
stack<bool> s;
for(int i=q-1; i>=0; i--){
if(query[i][2]){
if(find(query[i][1]) == find(query[i][2])) s.push(true);
else s.push(false);
}else{
merge(query[i][1], g[query[i][1]]);
}
}
while(!s.empty()){
cout << (s.top()?"YES":"NO") << "\n"; s.pop();
}
return 0;
}
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